Mings and other Villa central defenders have one of the best ever in the position on their coaching staff.
With Mings getting his first England call-up, Villa boss Smith believes the youngster will only get better.
Smith said to reporters: "He (Mings) has got an ex-captain of his country and John's very good for the whole staff.
"I've said there's not many coaching staff that have as many titles and trophies as we have - unfortunately they're all with John!
"JT has been an influence on Tyrone since he's been here; he's getting better and better. JT will give him a heads up [about being in the England squad] but Tom Heaton is also a regular in the set-up."